Question
In $\triangle\text{PQR},\angle\text{P}=70^{\circ}$ and $\angle\text{R}=30^{\circ}.$ Which side of this triangle is the longest? Give reason for your answer.
✓
Answer
In $\triangle\text{PQR},$ we have
$\angle\text{Q}=180^{\circ}-(\angle\text{P}+\angle\text{R})$
$=180^{\circ}-(70^{\circ}+30^{\circ})=180^{\circ}-100^{\circ}$
$=80^{\circ}$
Now, in the larger and side opposite to greater angle is loger.
Hence, $PR$ is the longest side.
$\angle\text{Q}=180^{\circ}-(\angle\text{P}+\angle\text{R})$
$=180^{\circ}-(70^{\circ}+30^{\circ})=180^{\circ}-100^{\circ}$
$=80^{\circ}$
Now, in the larger and side opposite to greater angle is loger.
Hence, $PR$ is the longest side.
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